The position versus time for a certain particle moving along the x-axis is shown in the figure. 1. Plot the velocity versus time graph for the time intervals: a. 0 to 2 s b. 2 s to 6 s c. 6 s to 10 s   2. Plot the acceleration versus time graph for the same time intervals.

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Chapter1: Units, Trigonometry. And Vectors
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The position versus time for a certain particle moving along the x-axis is shown in the figure.

1. Plot the velocity versus time graph for the time intervals:

a. 0 to 2 s
b. 2 s to 6 s
c. 6 s to 10 s

 

2. Plot the acceleration versus time graph for the same time intervals.

 

 

**Analyzing Position vs. Time Graph**

**Graph Explanation:**

This graph represents the relationship between position (in meters) and time (in seconds).

**Axes Description:**
- The horizontal axis (x-axis) represents time in seconds, ranging from 0 to 10 seconds.
- The vertical axis (y-axis) represents position in meters, ranging from 0 to 15 meters.

**Graph Analysis:**
1. From 0 to 2 seconds, the object's position increases rapidly from 0 to 15 meters. This indicates that the object is moving forward quickly.
2. From 2 to 4 seconds, the object's position decreases from 15 meters to 5 meters, suggesting that the object is moving backward.
3. Between 4 and 6 seconds, there is no change in position; it remains constant at 5 meters. This signifies that the object is stationary during this time period.
4. From 6 to 10 seconds, the object's position increases again from 5 meters to 10 meters, indicating forward motion, but at a slower rate compared to the first segment of the graph.

This graph can be used to understand the motion of the object over the given time period and to illustrate concepts such as acceleration, deceleration, and stationary position in a kinematics context.
Transcribed Image Text:**Analyzing Position vs. Time Graph** **Graph Explanation:** This graph represents the relationship between position (in meters) and time (in seconds). **Axes Description:** - The horizontal axis (x-axis) represents time in seconds, ranging from 0 to 10 seconds. - The vertical axis (y-axis) represents position in meters, ranging from 0 to 15 meters. **Graph Analysis:** 1. From 0 to 2 seconds, the object's position increases rapidly from 0 to 15 meters. This indicates that the object is moving forward quickly. 2. From 2 to 4 seconds, the object's position decreases from 15 meters to 5 meters, suggesting that the object is moving backward. 3. Between 4 and 6 seconds, there is no change in position; it remains constant at 5 meters. This signifies that the object is stationary during this time period. 4. From 6 to 10 seconds, the object's position increases again from 5 meters to 10 meters, indicating forward motion, but at a slower rate compared to the first segment of the graph. This graph can be used to understand the motion of the object over the given time period and to illustrate concepts such as acceleration, deceleration, and stationary position in a kinematics context.
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